Resumo

NAVARRO FUENTES, Jaime  e  HERRERA ALCANTARA, Oscar. Fast Convergence of the Two Dimensional Discrete Shearlet Transform. Comp. y Sist. [online]. 2020, vol.24, n.2, pp.469-480.  Epub 04-Out-2021. ISSN 2007-9737.  https://doi.org/10.13053/cys-24-2-3372.

The 2D discrete shearlet transform for a given function $f$ in $L^2\left({ℝ}^2\right)$ has been defined through dilation, shear and translation parameters in such a way that the continuity of $f$ at $\left(0,0\right)$ can be studied by means of the convergence of the discrete shearlet transform as the dilation parameter converges to zero. Computer experiments illustrate this property by detecting edges in images that correspond to discontinuities.

Palavras-chave : Shearlets; tight frames; continuity; image processing.